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3 years ago

5x-3y-z If x= -2, y=2 and z= -3

1 answer:

6 0

This is fairly simple
Plug in the numerical values given for each variable.
5(-2) -3(2) -(-3)
-10 -6 + 3 (negative x negative = positive)
-16 + 3
-13 is the final answer

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7y + 8y can be simplified to 15y true or false

MatroZZZ [7]

Answer:

True

Step-by-step explanation:

7y and 8y are like terms, so you can add them together

8 0

3 years ago

Read 2 more answers

Let line L1 be the graph of 5x + 8y = -9. Line L2 is perpendicular to line L1 and passes through the point (10,10). If line L2 i

AleksandrR [38]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So firstly, remember that perpendicular lines have slopes that are negative reciprocals to each other. To find the slope of L1, the easiest method is to convert it into slope-intercept form.

Firstly, subtract 5x on both sides of the equation: $8y=-5x-9$

Next, divide both sides of the equation by 8 and your slope-intercept form will be $y=-\frac{5}{8}x-\frac{9}{8}$

Now looking at this equation, the slope appears to be -5/8 for L1. Since L2 is perpendicular, this means that the slope of L2 is 8/5.

Next, to find the y-intercept, put the slope into the m variable and put (10,10) into the x and y placeholders to solve for b as such:

$10=\frac{8}{5}*10+b\\10=16+b\\-6=b$

Putting it together, your equation is $y=\frac{8}{5}x-6$ , with m = 8/5 and b = -6.

Next, to find the sum you first need to convert -6 so that it has a denominator of 5. To do this, multiply -6 by 5/5 as such:

$-\frac{6}{1}\times\frac{5}{5}=-\frac{30}{5}$

Next, add the numerators together:

$-\frac{30}{5}+\frac{8}{5}=-\frac{22}{5}$

Your final answer is -22/5.

5 0

3 years ago

Read 2 more answers

Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD

podryga [215]

I did that problem for homework. The picture shows my answers.

3 0

3 years ago

Read 2 more answers

What is the value of b in the equation y = mx + b if the slope is 5 and we have one ordered pair (2, 3)?

Amanda [17]

Step-by-step explanation:

the slope is always the factor of x.

so, m = 5.

to get b we use the point coordinates as x and y values :

3 = 5×2 + b

3 = 10 + b

b = -7

5 0

3 years ago

Linda West, a dental lab technician, pays three times as much

Natalka [10]

9514 1404 393

Answer:

vision: $13.50
dental: $40.50
health: $162.00

Step-by-step explanation:

Let d, v, h represent the costs of dental, vision, and health insurance, respectively. The cost relations are ...

d = 3v . . . . . . . . . . . . . . . dental is 3 times vision

h = 3(v +d) . . . . . . . . . . . health is 3 times vision and dental combined

d + v + h = 9360 . . . . . annual premium

Substituting for h, we have ...

d + v + (3(d +v)) = 9360

Substituting for d, we have ...

3v +v +3(3v +v) = 9360

16v = 9360

v = 585

d = 3v = 1755

h = 3(d+v) = 7020

These are the total annual premiums. Linda pays 1/26 of 60% of this every two weeks. That fraction is 0.60/26 = 3/130.

a) Linda's biweekly vision insurance deduction is (585)(3/130) = $13.50

b) Linda's biweekly dental insurance deduction is (1755)(3/130) = $40.50

c) Linda's biweekly health insurance deduction is (7020)(3/130) = $162.00

_____

Additional comment

We know dental is 3v and health is 3(3v+v) = 12v = 4d. That is, once we find Linda's share of the biweekly vision premium, we can find the others by multiplying it by a suitable factor.

6 0

3 years ago